Texas TEKS Mathematical Models With Applications

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) (2.A) Mathematical modeling in Personal Finance. Use rates and linear functions to solve problems involving personal finance and budgeting, including compensations and deductions; a. Calculating Work Hours b. Calculating Months Worked c. Calculating Gross Pay d. Calculating Net Pay e. Calculating the Net Pay you Need f. Calculating the Gross Pay you Need g. Calculating the Number of Hours Needed h. Comparing Jobs i. Given Gross and Net Pay Calculate the Percent of Pay taken home j. Cost of Poor Health k. Basic Budgeting l. Calculating Surplus and Deficits m. Building Up Savings (Easier) n. Building up Savings (Harder) o. Estimating Income p. Determining Net Worth q. Comparing Monetary Incentives such as Sales and Coupons r. Dealing with Markups and Markdowns s. Comparing Items with Shipping and Discounts t. Figuring out a Budget (without Sales tax) u. Applying Percents to Numbers v. Calculating Sales Tax and Tip Word Problems w. Figuring out a Budget (with Sales tax) x. Calculating Discounts Word Problems y. Calculating Percent of Increase/Decrease Word Problems z. Solving Percent of Change Problems aa. Calculating Simple Interest Word Problems bb. Calculating Compound Interest Word Problems (Random) (2.B) Mathematical modeling in Personal Finance. Solve problems involving personal taxes; a. Average Tax Rate and Tax Calculations b. Tax Deductions c. Budgeting when dealing with taxes d. Dealing with Sales Tax (Random) (2.C) Mathematical modeling in Personal Finance. Analyze data to make decisions about banking, including options for online banking, checking accounts, overdraft protection, processing fees, and debit card/ATM fees. a. Comparing Debit Cards b. Writing a Check c. Balancing Your Checkbook d. Methods of Paying Bills e. Saving Money with Online Statements f. Saving Money g. Covering Expenses h. Safety of Accounts i. Identifying a Deposit or Withdrawal j. Filling out a Check Register k. Filling Out a Deposit Slip (Random) (3.A) Mathematical modeling in Personal Finance. Use formulas to generate tables to display series of payments for loan amortizations resulting from financed purchases; a. Student Loans b. How Credit Scores Affect Loans (Random) (3.B) Mathematical modeling in Personal Finance. Analyze personal credit options in retail purchasing and compare relative advantages and disadvantages of each option; a. Types of Loans b. Ways to Pay for Items c. Calculating the Effects of Interest d. Estimate the Payoff Amount e. Applying Late Fees f. Paying the Minimum Payment g. Credit vs Debit Cards (Random) (3.C) Mathematical modeling in Personal Finance. Use technology to create amortization models to investigate home financing and compare buying a home to renting a home; a. Buying a Home/Housing b. Mortgages and Points c. Renting an Apartment d. Renting out a Room in Your Home (Random) (3.D) Mathematical modeling in Personal Finance. Use technology to create amortization models to investigate automobile financing and compare buying a vehicle to leasing a vehicle. a. Purchasing and Comparing Apartments/Cars b. Leasing a Car vs Buying a Car (Random) (4.A) Mathematical modeling in Personal Finance. Analyze and compare coverage options and rates in insurance; a. Deductibles b. Premiums c. Estimating Costs d. Depreciation (Random) (4.B) Mathematical modeling in Personal Finance. Investigate and compare investment options, including stocks, bonds, annuities, certificates of deposit, and retirement plans; a. Bonds and Bond Funds b. Stocks and Mutual Funds c. Rate of Return (And the Rule of 72) d. Line of Best Fit and Risk vs Return e. Diversification f. Living off Interest g. Calculating Retirement Account Values h. Matching Contributions i. Retirement and Taxes j. Savings Accounts k. Mutual Funds l. Stocks m. Bonds n. Investing vs Debt (Random) (4.C) Mathematical modeling in Personal Finance. Analyze types of savings options involving simple and compound interest and compare relative advantages of these options. a. Comparing Banks b. Savings Accounts and Account Savings c. Comparing Checkings/Savings Accounts d. Simple Vs. Compound Interest (Random) (5.A) Mathematical modeling in Science and Engineering. Use proportionality and inverse variation to describe physical laws such as Hook's Law, Newton's Second Law of Motion, and Boyle's Law; a. Identifying Variation of a Graph b. Setting up and Solving Inverse Variation Problems c. Setting up and Solving Direct Variation Problems d. Setting up and Solving Joint Variation Problems e. Direct Variation and Inverse Variation Word Problems f. Finding the Constant of Variation g. Identifying Direct and Inverse Variation Situations h. Creating Rates and Ratios from Word Problems i. Using Rates and Ratios in Proportions j. Solving Scale Model Problems k. Solving Simple Proportion Word Problems l. Solving Complex Proportion Word Problems (Random) (5.B) Mathematical modeling in Science and Engineering. Use exponential models available through technology to model growth and decay in areas, including radioactive decay; a. Basic Growth And Decay Problems b. Solving Word Problems with Exponential Growth c. Solving Word Problems about Exponential Decay (Random) (5.C) Mathematical modeling in Science and Engineering. Use quadratic functions to model motion. a. Solving Quadratic Based Word Problems (Random) (6.A) Mathematical modeling in Science and Engineering. Use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in architecture; a. Classifying Frieze Patterns b. Finding the Minimum Distance between two Points Touching a Line c. Tessellations (Tilings) d. Using Tessellation Problems when Finding Angles e. Using Perspective Drawings	(Random) (6.B) Mathematical modeling in Science and Engineering. Use scale factors with two-dimensional and three-dimensional objects to demonstrate proportional and non-proportional changes in surface area and volume as applied to fields; a. Using Scale Factors in Dilations b. Finding the Scale Factor c. Solving Scale Model Problems d. Using Proportional Reasoning with Similar Objects e. Using Dimension Changes to Find Volume and Surface Area f. Solving Word Problems (Random) (6.C) Mathematical modeling in Science and Engineering. Use the Pythagorean Theorem and special right-triangle relationships to calculate distances; a. Using the Pythagorean Theorem (Finding the Hypotenuse) b. Using the Pythagorean Theorem (Finding a Leg) c. Using the Pythagorean Theorem To Identify Right Triangles (Random) (6.D) Mathematical modeling in Science and Engineering. Use trigonometric ratios to calculate distances and angle measures as applied to fields. a. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths b. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles c. Solving Right Triangles (Random) (7.A) Mathematical modeling in Fine Arts. Use trigonometric ratios and functions available through technology to model periodic behavior in art and music; a. Determining Amplitude in Graph and Equation b. Writing Equations of Amplitude and Vertical Stretch Changes c. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips (Random) (7.B) Mathematical modeling in Fine Arts. Use similarity, geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in art and photography; a. Identifying Line Symmetry b. Identifying Rotational and Point Symmetry c. Identifying Symmetry with Tessellations (Tilings) (Random) (7.C) Mathematical modeling in Fine Arts. Use geometric transformations, proportions, and periodic motion to describe mathematical patterns and structure in music; a. Determining Amplitude in Graph and Equation b. Writing Equations of Amplitude and Vertical Stretch Changes c. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips (Random) (7.D) Mathematical modeling in Fine Arts. Use scale factors with two-dimensional and three-dimensional objects to demonstrate proportional and non-proportional changes in surface area and volume as applied to fields. a. Using Proportional Reasoning with Similar Objects b. Using Dimension Changes to Find Volume and Surface Area c. Solving Word Problems (Random) (8.A) Mathematical modeling in Social Sciences. Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle; a. Identifying Permutations and Combinations b. Calculating Permutations (And other cases where order matters) c. Calculating Combinations d. Calculating Rearrangements of Words e. Counting Cases f. Complementary Counting g. Counting Pairs (Random) (8.B) Mathematical modeling in Social Sciences. Compare theoretical to empirical probability; a. Empirical vs. Theoretical vs. Subjective Probability (Random) (8.C) Mathematical modeling in Social Sciences. Use experiments to determine the reasonableness of a theoretical model such as binomial or geometric. a. Binomial Probability b. Exploring Probability Relationships In Pascal's Triangle c. Definition of a Binomial Probability Distribution d. Finding Geometric Probabilities (Random) (9.A) Mathematical modeling in Social Sciences. Interpret information from various graphs, including line graphs, bar graphs, circle graphs, histograms, scatterplots, dot plots, stem-and-leaf plots, and box and whisker plots, to draw conclusions from the data and determine the strengths and weaknesses of conclusions; a. Creating Line Graphs b. Reading Line Graphs c. Displaying Data using Bar Graphs d. Reading Bar Graphs e. Displaying Data using Circle Graphs f. Reading Circle Graphs g. Predicting with Histograms h. Displaying Data using Histograms i. Reading Histograms j. Finding the Best Fit Line from a Data Set or a Scatterplot k. Identifying the Best Fit Equation type from a Data Set or a Scatterplot l. Identifying the Slope from a Data Set or Scatterplot m. Predicting a Value according to a Data Set or Scatterplot n. Dotplots o. Constructing Stem and Leaf p. Reading Stem and Leaf q. Constructing Box and Whisker r. Reading Box and Whisker s. Comparing Box and Whisker Plots (Random) (9.B) Mathematical modeling in Social Sciences. Analyze numerical data using measures of central tendency (mean, median, and mode) and variability (range, interquartile range or IQR, and standard deviation) in order to make inferences with normal distributions; a. Finding Mean, Median and Mode b. Identifying the Meaning of Mean, Median and Mode c. Quartiles and IQR d. Finding Standard Deviation (σ) e. Measuring Spread: Range, Interquartile Range, Standard Deviation (Random) (9.C) Mathematical modeling in Social Sciences. Distinguish the purposes and differences among types of research, including surveys, experiments, and observational studies; a. Sample Survey b. Experiment c. Observational Study (Random) (9.D) Mathematical modeling in Social Sciences. Use data from a sample to estimate population mean or population proportion; a. Calculating Mean b. Sampling Distributions c. Sampling Distribution of a Sample Proportion d. Sampling Distribution of a Sample Mean (Random) (9.E) Mathematical modeling in Social Sciences. Analyze marketing claims based on graphs and statistics from electronic and print media and justify the validity of stated or implied conclusions; a. Situational Problems b. Central Limit Theorem c. Sampling Distribution of a difference between two Independent Sample Proportions d. Sampling Distribution of a difference between two Independent Sample Means e. Simulation of Sampling Distributions f. t-Distribution g. Chi-Square Distribution (Random) (9.F) Mathematical modeling in Social Sciences. Use regression methods available through technology to model linear and exponential functions, interpret correlations, and make predictions. a. Linear Regression b. Predicting with Linear Regression c. Finding best fit for scatterplots of a Exponential Function (Random) (10.A) Mathematical modeling in Social Sciences. Formulate a meaningful question, determine the data needed to answer the question, gather the appropriate data, analyze the data, and draw reasonable conclusions; a. Confidence Interval Vocabulary and Relation to z-scores b. Steps for Finding a Confidence Interval c. Finding a Confidence Interval for μ (σ known) (Random) (10.B) Mathematical modeling in Social Sciences. Communicate methods used, analyses conducted, and conclusions drawn for a data-analysis project through the use of one or more of the following: a written report, a visual display, an oral report, or a multi-media presentation. a. Determining Sample Size needed b. Hypothesis Testing Vocabulary c. Type I Vs. Type II Error d. Steps for doing a Hypothesis Test e. Doing a Hypothesis Test of μ (σ known)
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